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14241113302000 = 2453131733166099
BaseRepresentation
bin1100111100111100010001…
…1111111110001111110000
31212102102210200010202222211
43033033010133332033300
53331311300001131000
650142135505541504
72666613030532564
oct317170437761760
955372720122884
1014241113302000
1145a0693215122
121720034044894
137c3c14b82b50
143733b891d6a4
1519a69d96b7ba
hexcf3c47fe3f0

14241113302000 has 160 divisors (see below), whose sum is σ = 37298228385600. Its totient is φ = 5227861017600.

The previous prime is 14241113301977. The next prime is 14241113302051. The reversal of 14241113302000 is 20331114241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2914951 + ... + 6081049.

It is an arithmetic number, because the mean of its divisors is an integer number (233113927410).

Almost surely, 214241113302000 is an apocalyptic number.

14241113302000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14241113302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18649114192800).

14241113302000 is an abundant number, since it is smaller than the sum of its proper divisors (23057115083600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14241113302000 is a wasteful number, since it uses less digits than its factorization.

14241113302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166308 (or 3166292 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 14241113302000 its reverse (20331114241), we get a palindrome (14261444416241).

The spelling of 14241113302000 in words is "fourteen trillion, two hundred forty-one billion, one hundred thirteen million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 173 200 208 250 260 325 346 400 500 520 650 692 865 1000 1040 1300 1384 1625 1730 2000 2249 2600 2768 3250 3460 4325 4498 5200 6500 6920 8650 8996 11245 13000 13840 17300 17992 21625 22490 26000 34600 35984 43250 44980 56225 69200 86500 89960 112450 173000 179920 224900 281125 346000 449800 562250 899600 1124500 2249000 3166099 4498000 6332198 12664396 15830495 25328792 31660990 41159287 50657584 63321980 79152475 82318574 126643960 158304950 164637148 205796435 253287920 316609900 329274296 395762375 411592870 547735127 633219800 658548592 791524750 823185740 1028982175 1095470254 1266439600 1583049500 1646371480 2057964350 2190940508 2738675635 3166099000 3292742960 4115928700 4381881016 5144910875 5477351270 6332198000 7120556651 8231857400 8763762032 10289821750 10954702540 13693378175 14241113302 16463714800 20579643500 21909405080 27386756350 28482226604 35602783255 41159287000 43818810160 54773512700 56964453208 68466890875 71205566510 82318574000 109547025400 113928906416 136933781750 142411133020 178013916275 219094050800 273867563500 284822266040 356027832550 547735127000 569644532080 712055665100 890069581375 1095470254000 1424111330200 1780139162750 2848222660400 3560278325500 7120556651000 14241113302000